Digital design and manufacturing technology is the basis of advanced manufacturing technology. Digital modeling is the basis of realizing digital product development and digital manufacturing. For the Cycloid Bevel Gear and hypoid gear tooth surfaces expressed by cumbersome function expressions, a reasonable, simple and accurate description of these complex surfaces is conducive to product manufacturing, virtual simulation, engineering analysis and product precision measurement. According to the different methods of establishing gear solid model, the digital modeling methods of Cycloid Bevel Gear and hypoid gear can be divided into analytical tooth surface modeling and simulation forming modeling; According to the different principles of establishing mathematical models, analytical tooth surface modeling methods can be divided into tooth surface discrete point modeling and tooth profile curve fitting modeling.
According to the meshing principle, the tooth surface formulas of Cycloid Bevel Gear and hypoid gear are given, and the gear digital model is established by using the method of tooth surface calculation modeling. Firstly, the precise coordinates of discrete points on each tooth surface are calculated according to the tooth surface formula, and the data point cloud of discrete points is generated. Then, the grip command in NX software is used to fit the tooth surface models, establish the cogging model, and obtain the three-dimensional solid model of the gear by Boolean difference, and carry out meshing simulation analysis based on NX.
According to the different methods of establishing gear solid model, the digital modeling methods of Cycloid Bevel Gear and hypoid gear can be divided into analytical tooth surface modeling and simulation forming modeling; According to the different principles of establishing mathematical models, analytical tooth surface modeling methods can be divided into tooth surface discrete point modeling and tooth profile curve fitting modeling.
Based on the spirac method tooth surface forming principle, taking the cycloid hypoid gear pair as an example, the tooth surface equations of the large and small gears are derived, the precise coordinates of the discrete points of each tooth surface are calculated, the tooth surface models are fitted by using the grip command in NX software, and the three-dimensional digital model of the gear pair is established, which is used to analyze the tooth tip sharpening, undercutting The correctness and feasibility of the new spirac method are verified by analyzing and evaluating the shrinkage characteristics and the interference of gear pairs.
Digital modeling is the basis of realizing digital product development and digital manufacturing. For the Cycloid Bevel Gear and hypoid gear tooth surfaces expressed by cumbersome function expressions, a reasonable, simple and accurate description of these complex surfaces is conducive to product manufacturing, virtual simulation, engineering analysis and product precision measurement. At the same time, visual inspection and analysis can visually study and analyze the tooth contact area, multi tooth meshing and assembly interference inspection results, which provides a technical means for the visual analysis of Cycloid Bevel Gears and hypoid gears.